Publications
Applications to medecine
F. Kwiatkowski,
L. Serlet, Y.J. Bignon. What selection
pressure does to mutations favoring
cancer ? Highlights of a simulation approach. Biomedical Journ. Of Tech. Research. 2018
https://biomedres.us/pdfs/BJSTR.MS.ID.001989.pdf
M. Arbre, F. Kwiatkowski,
L. Serlet, Y.J. Bignon. From oncogenetic
pedigrees to family profiles : a necessary step to enable statistics. Journal of Proteomics and Bioinformatics, Omics International 2016
https://hal.uca.fr/hal-01675318
L. Serlet. Explicit laws
for the records of the perturbed random
walk on Z. Sminaire de Probabilits XLIX. Springer
(2018).
L. Serlet. Hitting times for the perturbed reflecting random walk. Stoch. Proc. and their Appl. 123(1), 110-130
(2013).
L. Serlet. Invariance principle
for the random walk conditioned to have few zeros. Sminaire
de Probabilits XLVI, 461-472. Springer (2014).
L. Serlet. Looking for a good time
to bet. Mathematical
Spectrum, 47 (3) (2015).
Publications
in French : articles de vulgarisation ou autres
L. Serlet. Pour dompter lalatoire, rien ne vaut une
bonne martingale . Revue Mathmatiques en auvergne, Tome 1, 375-390, Revue dAuvergne (2014).
L. Serlet. LՃcole de Probabilits de Saint Flour . Revue Mathmatiques en auvergne Tome 1,
217-225, Revue dAuvergne (2014).
Documents
de synthse (Memoirs)
L. Serlet. Quelques proprits du super-mouvement brownien.
Thse de doctorat de l'Universit Paris 6, 1994.
L. Serlet. Contributions lՎtude du serpent brownien et
applications au super-mouvement brownien. Document de synthse pour lHDR,
2004.
L. Serlet . Some
dimension results for super-Brownian
motion. Probab. Th. Relat.
Fields 101, 371-391, 1995.
L. Serlet . On the Hausdorff measure of multiple points and collision points of super-Brownian
motion. Stochastics and stochastic
Reports 54, 169-198, 1995.
L. Serlet . The occupation measure
of super Brownian motion conditioned
to nonextinction. Journal of Th. Probab. 9
(3), 561-578,1996.
L.
Serlet . A large deviation principle for the Brownian snake. Stoch. Proc. and
their Appl. 67, 101-115, 1997.
L. Serlet . Laws
of the iterated logarithm
for the Brownian snake.
Sminaire de Probabilits XXXIV, Lect. Notes Math
1729, 302-312. Springer, 2000.
J.S. Dhersin, L. Serlet. A stochastic calculus approach for the Brownian snake. Can. J. Math. 52 (1), 92-118, 2000.
R. Abraham, L. Serlet. Representations
of the Brownian snake with drift. Stochastics and stochastic
Reports 73, 287-308, 2002.
R. Abraham, L. Serlet. Poisson snake
and fragmentation. Electronic Journal of Probability Vol. 7, 2002.
http://www.math.washington.edu/~ejpecp/viewissue.php?id=210
- Articles
L. Serlet . Super-Brownian motion conditioned on
the total mass. Stoch. Proc. and their Appl. 115, 1782-1804,
2005.
L. Serlet. Representation of the
martingales for the Brownian snake.
Sminaire de Probabilits XL, 343-354
L. Serlet. Creation or deletion of a drift on a Brownian
trajectory, Sminaire de Probabilits XLI,
215-232.
L. Serlet New large deviation results for some super-Brownian processes Stoch. Proc. and their Appl., 119 (5),1696-1724
L. Serlet. Survival of a Brownian snake in a hostile environment, unpublished.